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201422030304 = 25311300163559
BaseRepresentation
bin1011101110010110110…
…0000100010111100000
3201020220110002022100110
42323211230010113200
511300003014432204
6232310525051320
720360266002645
oct2734554042740
9636813068313
10201422030304
1178471537660
12330539b6b40
1315cbcb12221
149a6acc9dcc
15538d21b889
hex2ee5b045e0

201422030304 has 96 divisors (see below), whose sum is σ = 577000730880. Its totient is φ = 61015680000.

The previous prime is 201422030263. The next prime is 201422030321. The reversal of 201422030304 is 403030224102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3137277 + ... + 3200835.

It is an arithmetic number, because the mean of its divisors is an integer number (6010424280).

Almost surely, 2201422030304 is an apocalyptic number.

201422030304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201422030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288500365440).

201422030304 is an abundant number, since it is smaller than the sum of its proper divisors (375578700576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201422030304 is a wasteful number, since it uses less digits than its factorization.

201422030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66584 (or 66576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 201422030304 its reverse (403030224102), we get a palindrome (604452254406).

The spelling of 201422030304 in words is "two hundred one billion, four hundred twenty-two million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3001 6002 9003 12004 18006 24008 33011 36012 48016 63559 66022 72024 96032 99033 127118 132044 144048 190677 198066 254236 264088 288096 381354 396132 508472 528176 699149 762708 792264 1016944 1056352 1398298 1525416 1584528 2033888 2097447 2796596 3050832 3169056 4194894 5593192 6101664 8389788 11186384 16779576 22372768 33559152 67118304 190740559 381481118 572221677 762962236 1144443354 1525924472 2098146149 2288886708 3051848944 4196292298 4577773416 6103697888 6294438447 8392584596 9155546832 12588876894 16785169192 18311093664 25177753788 33570338384 50355507576 67140676768 100711015152 201422030304